Math Problem Statement

Answer question

Solve the following questions using the data below: Let p = <3, 5>; q = <-1, 6>; r = <4, -3>; s = <-2, -6>. Find each of the following.

Solution

The problem asks us to solve questions using the given data:

Vectors provided:

  • p=⟨3,5⟩\mathbf{p} = \langle 3, 5 \rangle
  • q=⟨−1,6⟩\mathbf{q} = \langle -1, 6 \rangle
  • r=⟨4,−3⟩\mathbf{r} = \langle 4, -3 \rangle
  • s=⟨−2,−6⟩\mathbf{s} = \langle -2, -6 \rangle

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Math Problem Analysis

Mathematical Concepts

Vector operations
2D vector arithmetic

Formulas

Vector addition: u + v = <u₁ + v₁, u₂ + v₂>
Vector subtraction: u - v = <u₁ - v₁, u₂ - v₂>
Dot product: u · v = u₁v₁ + u₂v₂
Magnitude of a vector: |u| = √(u₁² + u₂²)

Theorems

-

Suitable Grade Level

Grades 10-12

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